If the defending king can get to a square next to b2 (using the Rat1960 diagram), the game is drawn, because he can toggle around a1, b1, c1, and c2 indefinitely, blocking the attacking king from the key b1/b2 squares which would allow the pawn to be captured.

Endgame studier is right if it is black to move in the same diagram, 1. ..Bf4! wins, as the black king marches over to take the pawn. With white to move, 1. Kc1 draws.